messages listlengths 1 1 | ground_truth stringlengths 6 14 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "Find the value at position (1, 1) of the 8th power of the matrix:\n[[-4, -2, 7, 13, 14, 3, -3, -9, 7, -6],\n [3, 10, 6, 0, -6, -5, 11, -13, -1, 6],\n [-4, -2, -13, 6, -8, 13, 0, -8, -3, 12],\n [-8, -10, 0, -8, 7, 8, 6, 13, -13, 10],\n [-13, 4, -6, -13, 14, -1, 0, 9, 14, -3],\n [14, 14, 4, 0, -9, 1... | 1099573560 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[9, -2, -1, 7, -2, -10, -4, 1, -6, 6],\n [-2, -3, -4, 1, -11, -2, -5, -4, -12, -6],\n [-1, -4, -4, -10, 13, -10, -2, 6, 4, 10],\n [7, 1, -10, -5, 6, -2, -10, -4, -7, -4],\n [-2, -11, 13, 6, 1, -4, -5, 6, 0, -9],\n... | 128955962647 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-4, 10, 1, -8, 3, -4, -2, -4, -3, 6],\n [10, -12, 0, 8, 4, 3, -2, 2, -4, -2],\n [1, 0, -1, 6, 4, -8, -6, -2, -4, -8],\n [-8, 8, 6, -1, -1, 0, -2, -12, 11, 12],\n [3, 4, 4, -1, -12, -12, -4, -4, 0, 6],\n [-4, 3, -8, 0, -12, 10, 0, -8, ... | -8824364364 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-8, -1, 0, -7, -7, -12, 6, -2, -1, -2],\n [-1, 6, 6, -8, -4, 2, 0, -3, 6, 2],\n [0, 6, 5, -5, 6, 0, 6, 12, -6, 3],\n [-7, -8, -5, 3, -1, 4, 1, 6, 4, -8],\n [-7, -4, 6, -1, -1, -2, -7, 0, -1, -2],\n [-12, 2, 0, 4, -2, 10, -2, 0, 5, 6],\n [6, 0, 6, 1, -7, -2, -7... | -50120400 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[14, 10, 0, -2, 0, 4, 3, 4, 8, 4],\n [10, 11, 8, 10, 6, 2, -5, 10, 8, 4],\n [0, 8, -12, 4, 5, 5, 2, 0, -10, -8],\n [-2, 10, 4, 7, 6, 0, 4, -4, -4, 4],\n [0, 6, 5, 6, -4, 4, -2, -5, 5, 0],\n [4, 2, 5, 0, 4, -4, 12, -5, 8, -4],\n [3, -5, 2, 4, -2, 12, -5, 3, 2, -... | 7708428845 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[-8, 4, 2, 4, 7, 0, -6, 0, -6, -2],\n [4, 4, 8, -1, -4, 4, -8, 8, 2, 6],\n [2, 8, -1, -4, -8, 6, -4, -10, 4, 0],\n [4, -1, -4, -1, 6, 0, 6, 0, 1, 6],\n [7, -4, -8, 6, -10, 8, -8, 4, 12, -10],\n ... | 12087700995163 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 2, -5, -4, 10, -4, -4, 2, 2, -5],\n [2, -11, 8, 8, 8, 7, 6, -1, 4, 3],\n [-5, 8, -9, 1, 4, 0, 10, 6, 1, 1],\n [-4, 8, 1, -1, 2, -2, 4, -14, 0, -7],\n [10, 8, 4, 2, -14, 2, -1, 10, 6, -4],\n ... | 370584972182 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-1, -2, -6, 0, 4, 7, -4, 12, 0, -4],\n [-2, -12, 2, -7, -1, 6, 2, 6, 12, 2],\n [-6, 2, -14, 9, -5, -9, -4, 0, 4, 3],\n [0, -7, 9, -1, 4, -6, -10, 6, -6, -3],\n [4, -1, -5, 4, -1, 2, 2, 0, 0, -6],\n [7, 6, -9, -6, 2, -11, -3, 10, 5, -11],\n [-4, 2, -4, -10, 2, ... | -1640334629 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the value at position (9, 1) of the result:\nA =\n[[11, -4, -6, 2, 0, -5, 8, 2, 2, 2],\n [-4, -1, -4, 2, 9, -5, 12, -2, -2, 12],\n [-6, -4, 4, -2, 0, 0, -6, 4, -8, -8],\n [2, 2, -2, -4, -4, 6, -14, 5, 10, 8],\n [0, 9, 0, -4, -14, 0, -7, -4, -4, 2],\n [-5, -5... | -6216678 | MATH |
[
{
"content": "What is the value at position (4, 8) of the matrix A^8 where A is:\n[[14, -4, 2, 0, -8, -1, 2, -4, -9, 2],\n [-4, 5, -4, 6, 5, -6, -8, 10, -11, -2],\n [2, -4, -8, 0, -2, 4, 4, -9, -7, 7],\n [0, 6, 0, -11, -12, -8, -4, 6, -10, 9],\n [-8, 5, -2, -12, 3, 4, 10, 0, 4, -2],\n [-1, -6, 4, -8, 4, 7, -4, ... | -310749505498 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-6, 2, 2, 4, -6, 4, -8, 0, 3, -6],\n [2, -6, -10, -6, 1, 0, -2, 2, -10, -10],\n [2, -10, -7, 6, 2, -1, -2, 8, -2, -2],\n [4, -6, 6, -11, 10, -5, -2, 2, 2, -1],\n [-6, 1, 2, 10, -1, -12, -10, -6, -1, 3],\n [4, 0, -1, -5, -12, -3, 8, 9, -4, -6],\n [-8, -2, -2, -... | 1031950255 | MATH |
[
{
"content": "What is the value at position (10, 8) of the matrix A^8 where A is:\n[[-8, 0, 1, -4, 10, -4, -10, -13, -4, -6],\n [0, -3, 2, 4, 8, -8, -8, 0, 9, -8],\n [1, 2, 7, 0, 2, 0, -2, -6, 4, 4],\n [-4, 4, 0, 4, 0, 6, 4, 6, -6, 0],\n [10, 8, 2, 0, -11, 7, -2, -4, 6, -1],\n [-4, -8, 0, 6, 7, 1, 5, -2, -4, 6]... | 52254066064 | MATH |
[
{
"content": "Find the sum of all entries of the 6th power of the matrix:\n[[6, 10, -8, -2, -4, 4, 0, -12, 1, -4],\n [10, 5, -4, -5, -6, -11, 1, 6, -4, 4],\n [-8, -4, -8, -1, 2, -5, 6, 10, 14, 1],\n [-2, -5, -1, -13, -8, 6, 8, 2, -6, 8],\n [-4, -6, 2, -8, -5, 5, -8, 11, 10, -4],\n [4, -11, -5, 6, 5, 12, 2, -2, ... | 3729714762 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[0, -8, -3, 3, 12, -9, -6, 1, -7, 11],\n [-3, 4, 8, 1, -11, 12, 5, 1, -8, 12],\n [-2, 8, -3, 12, -14, -4, 2, -9, -13, -12],\n [-13, 3, 9, 9, -2, 7, 4, 6, -8, 6],\n [1, 8, 1, -5, -8, 5, 1, -5, -1, 11],\n [7, -6, -11, ... | 228260743054 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[-1, 2, 13, 4, 2, -5, 12, 6, -10, 0],\n [2, -13, 0, -7, -5, 12, -2, 3, -2, -2],\n [13, 0, 11, 12, 0, -4, 6, -12, 3, 0],\n [4, -7, 12, 9, 12, 10, 0, -2, -4, -4],\n [2, -5, 0, 12, -8, 10, 10, 3, -2, -12],\n [-5, 12,... | 8065912158975 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-1, 2, -7, 2, 12, 2, -8, -6, -11, -5],\n [14, -11, 6, -10, -13, 0, 13, 10, 11, 10],\n [-6, -6, -14, 9, 9, -3, 14, -2, 5, -2],\n [-1, -5, 2, 2, -1, 2, 4, 11, -12, -11],\n [-4, 1, 14, -2, 3, -4, -4, -6, 11, 10],\n [11, 8, -13, -12, -1, 1, -7, 10, 1, -11],\n [-6,... | -6185628035 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (4, 4) of the result:\nA =\n[[12, -8, 2, 9, 14, -12, 14, 0, 14, -11],\n [-12, -4, -13, -8, 11, 0, -1, 6, -8, 2],\n [-5, 3, -1, -9, 14, 7, 4, -5, 2, 14],\n [4, 5, 2, -1, -8, 4, 9, 14, -8, -3],\n [-9, -7, -6, 3, -5, 10, 11, 6, 1, 2],\n [-... | -774980927 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[9, -2, 4, 2, 8, 2, 4, -2, 4, 1],\n [-2, 7, 0, 0, 5, 7, -4, 3, -2, 4],\n [4, 0, 4, -5, 13, -10, 8, -3, 3, -8],\n [2, 0, -5, 6, -4, 0, 12, 3, 4, -4],\n [8, 5, 13, -4, -1, 10, -1, 2, -2, 6],\n [2, 7, -10, 0, 10, 3, 7, -... | 4622904056 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -8, 0, -6, -4, 6, 6, -2, 2, 6],\n [-8, 9, 1, 7, 9, 7, -13, -8, 6, -7],\n [0, 1, -2, 10, 2, 2, 4, 2, -11, -2],\n [-6, 7, 10, -7, 3, -10, 1, -2, -2, -2],\n [-4, 9, 2, 3, 7, 0, 1, -1, -2, -2],\... | 10203336724 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[8, -3, 2, 12, -9, 9, 7, -6, -5, -12],\n [-9, 11, -2, -1, -11, -5, 13, 4, 1, 9],\n [-8, 8, -10, -3, 0, -14, 7, -9, 4, -10],\n [-6, -8, 9, -6, 7, 1, -10, -5, 6, 6],\n [0, 0, -2, 5, 3, 8, -8, -7, -7, -4],\n [9, -6, -9, ... | 220940717841 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[10, 7, -3, 6, 12, -1, -6, -12, 8, 6],\n [7, -12, 7, 5, -2, 0, -10, -6, 10, 2],\n [-3, 7, 6, -2, 6, 4, -1, -8, 2, 6],\n [6, 5, -2, 4, -6, -1, 5, -5, -1, -8],\n [12, -2, 6, -6, -2, 2, -2, 2, 10, 2],\n [-1, 0, 4, -1, 2, 11, -2, -8, 2, 2],\n [-6, -10, -1, 5, -2, -... | 802955051 | MATH |
[
{
"content": "Find the sum of all entries of the 8th power of the matrix:\n[[3, -2, 1, -4, 2, 6, -10, 9, -8, -8],\n [-2, 6, 6, -2, 4, -10, -2, 0, 9, -9],\n [1, 6, 6, -2, -2, 6, 2, 6, 7, 4],\n [-4, -2, -2, -8, 5, 4, 10, 3, 0, 3],\n [2, 4, -2, 5, -7, 1, 0, 0, -10, -4],\n [6, -10, 6, 4, 1, 5, 12, 8, -12, -4],\n [-... | 1558954007054 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[6, 9, 7, 9, 7, 14, 9, -3, -3, 5],\n [-5, -13, 0, 4, 6, -11, 6, -1, -14, -14],\n [13, 3, 0, -4, 3, 14, 9, -5, -11, -1],\n [7, 3, -14, 13, -8, -11, -11, 3, -6, -13],\n [-10, -9, -12, 12, 4, 7, 6, -10, 6, -6],\n [9, 5,... | 6058389444 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[3, -4, -1, -2, 8, -10, -6, -4, -9, -2],\n [-4, -8, -10, -4, -2, -10, -2, 11, -2, 2],\n [-1, -10, -10, -13, -8, 4, 10, -3, -4, -10],\n [-2, -4, -13, 2, -4, 2, 2, 2, 2, 4],\n [8, -2, -8, -4, 7, 2, 6, 10, -7, 4],\n [-10, -10, 4, 2, 2, -2, 11, 6, 8, 10],\n [-6, -2... | -4218522974 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[9, -14, 0, -3, 1, 2, -6, -4, -4, 10],\n [-14, 0, 0, -1, -4, 2, 1, 4, -4, 7],\n [0, 0, 0, -4, -2, 8, 6, -3, 2, 7],\n [-3, -1, -4, -11, -2, 2, -3, 2, -9, 8],\n [1, -4, -2, -2, -14, -8, 7, 10, -6, 8],\n [2, 2, 8, 2, -8,... | 946633852567 | MATH |
[
{
"content": "What is the value at position (9, 5) of the matrix A^7 where A is:\n[[10, -4, 11, 14, 5, 6, 7, 8, -10, -8],\n [-3, -13, -8, 6, 11, -10, 12, 7, -3, 10],\n [-11, 6, 6, 4, -12, 13, 2, -11, -6, -13],\n [14, -5, 5, 10, -6, -7, 3, -4, 4, 7],\n [3, 4, 2, 5, 12, 7, 2, 0, 13, 1],\n [2, -7, 8, -8, 8, 6, -11... | 825225965 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[3, -2, 14, -11, 1, -12, -11, -11, -7, -4],\n [-12, 4, 13, -9, 12, -12, 6, -11, 12, -11],\n [-13, 1, 10, -10, 0, -10, 8, -3, 4, 0],\n [13, -9, -14, -10, 6, 10, 13, 6, 9, 4],\n [13, -4, 7, -1, -1, -13, 10, 7, -10, -6],\n [2, 4, 0, 14, -... | 11396732 | MATH |
[
{
"content": "Find the sum of all entries of the 8th power of the matrix:\n[[7, -4, -6, -3, 8, 1, 1, 1, -8, -4],\n [-4, 4, 4, -1, -6, 6, 3, 2, -12, 0],\n [-6, 4, -13, -8, -4, 0, -4, 6, -1, -1],\n [-3, -1, -8, 6, -7, 4, -8, -2, -6, 2],\n [8, -6, -4, -7, 4, -7, -1, 1, -2, 0],\n [1, 6, 0, 4, -7, -2, 2, -10, -6, -3... | 957738808799 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^8 where A is:\n[[1, 6, -11, 8, 4, -6, 1, 4, -2, 7],\n [6, 12, 6, -13, -1, -5, 0, -5, 10, 2],\n [-11, 6, -3, 6, -4, -4, 6, 9, 1, -7],\n [8, -13, 6, -7, -1, -11, 8, 0, 2, 7],\n [4, -1, -4, -1, -2, 10, 8, -4, 1, -6],\n [-6, -5, -4, -11, 10, -3, -8, -1, 2... | 863562902990 | MATH |
[
{
"content": "What is the value at position (7, 9) of the matrix A^8 where A is:\n[[-7, -2, -4, 6, -1, -9, 0, 4, -3, -4],\n [-2, 5, 13, 8, 5, -8, -4, 1, -3, -8],\n [-4, 13, 7, -5, -10, -8, -7, -2, 10, 8],\n [6, 8, -5, -8, 12, -1, 6, 2, 4, 6],\n [-1, 5, -10, 12, -9, -2, 0, -6, 0, 6],\n [-9, -8, -8, -1, -2, 8, -2... | -127162267744 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[3, -12, 11, -2, 2, -4, 6, -8, -5, 2],\n [-12, -7, 2, 8, 6, -2, -8, 4, 2, -9],\n [11, 2, 2, 11, 2, -10, 6, -4, -8, 0],\n [-2, 8, 11, -13, -10, -3, -2, -6, -5, -4],\n [2, 6, 2, -10, 2, -4, 4, 4, -2, -4],\n [-4, -2, -10, -3, -4, -2, -4, 0, 0, -12],\n [6, -8, 6, -... | -291094810 | MATH |
[
{
"content": "What is the value at position (1, 4) of the matrix A^6 where A is:\n[[-11, -1, 3, -4, -12, -12, 3, 8, -14, -2],\n [10, -10, -11, -12, 4, -2, 1, 4, -14, 3],\n [12, -8, -12, 7, 5, -5, 6, -7, -13, -5],\n [6, 3, -3, -1, 10, -13, 2, 5, -3, -8],\n [0, -13, 12, 11, 10, -3, 2, -14, -7, -10],\n [13, 13, 10... | -28178921 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (5, 3) of the result:\nA =\n[[2, 4, 13, -1, 8, 1, 2, -1, -6, 6],\n [-2, -13, 5, -7, -11, 11, -10, 0, -13, 6],\n [8, -6, -7, 11, -4, 7, -2, 10, -8, 4],\n [12, 0, -3, -2, -14, 6, 10, -7, 0, 7],\n [14, -1, -7, 9, -12, -3, 0, 7, 1, -8],\n [... | 3434964488 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[0, 6, -4, 4, 6, -8, 1, -2, 2, 0],\n [6, 0, -6, -2, -10, -12, 0, -1, -4, 0],\n [-4, -6, 5, 0, 0, -4, 2, 3, -4, -10],\n [4, -2, 0, 0, 4, 0, 0, 5, -6, 4],\n [6, -10, 0, 4, 9, -4, 8, -2, 10, -4],\n [-8, -12, -4, 0, -4, 1, -10, -9, 7, 5],\n [1, 0, 2, 0, 8, -10, 13,... | -74644044 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[11, 7, 0, -1, -10, 14, 3, 14, -3, 12],\n [-9, 5, 6, 14, -4, 0, 7, 8, -11, 12],\n [9, -1, -10, 8, 7, 12, 12, 6, 8, -4],\n [5, -8, -2, 4, 9, 11, -11, 5, -3, -1],\n [-14, -7, 1, 6, 10, 4, -10, -1, -3, -3],\n [5, -3, -4, 0, -8, -5, -10, 0, -13, 7],\n [-2, -1, 5, -... | -29609752587 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[5, 0, -1, 4, 4, 6, -5, -14, 10, 5],\n [-8, 8, 8, -4, 6, -11, -11, 14, 6, 7],\n [-5, 8, -10, 14, 1, 13, -3, 10, 10, -14],\n [-10, 3, -11, 12, 0, 8, 11, -9, -8, 4],\n [-1, 0, 6, 1, 7, 0, 12, -9, -9, 10],\n [-9, -3, -13, 10, -11, 8, -9, 10, -5, 14],\n [4, 9, -10,... | 23669225461 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (6, 9) of the result:\nA =\n[[5, 5, -11, 5, 0, -2, 0, -8, -4, -4],\n [5, 5, 7, -6, -2, -9, 2, 0, 12, -8],\n [-11, 7, 8, -4, -2, -10, -2, -13, -2, 2],\n [5, -6, -4, 2, -4, -6, -10, -8, 4, 2],\n [0, -2, -2, -4, 12, 12, -8, 4, -7, 12],\n [... | -5534494335 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[1, -4, 4, 3, 11, -14, 6, -11, 11, -6],\n [-6, -4, -10, 6, -9, 5, 14, -9, -7, 13],\n [6, 9, 9, 4, 7, -14, -10, 8, 6, 4],\n [-13, 13, 1, -13, -6, 3, 1, -8, -6, -3],\n [4, 8, -14, 13, -9, 12, -13, 11, 2, 6],\n [-1, -2, ... | 3523950493543 | MATH |
[
{
"content": "Find the value at position (6, 10) of the 6th power of the matrix:\n[[10, -4, 4, 1, -4, -4, 1, -2, 2, 2],\n [-4, -13, -6, -3, 6, -2, -2, 1, 0, -2],\n [4, -6, 12, 0, 2, 0, -4, 0, -2, -2],\n [1, -3, 0, 3, 2, -1, -4, 2, -2, -8],\n [-4, 6, 2, 2, 12, -3, -9, 2, 12, 0],\n [-4, -2, 0, -1, -3, -10, 10, -2... | -316224345 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[3, 3, 11, 12, -11, -12, 12, 13, 7, -5],\n [14, 1, -12, 4, 5, 0, -10, -4, -6, -2],\n [-4, 6, -1, -14, -6, -2, -13, 14, -11, 1],\n [-5, -9, -6, -13, 10, 10, -14, -3, 13, 12],\n [7, 13, 7, 10, 7, 14, 1, -13, -2, -7],\n ... | 199591620487 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[7, 0, 14, 1, -14, -9, -2, -14, -2, -10],\n [-12, -3, 11, -5, -6, 2, -9, -1, -12, 10],\n [3, 13, 12, -8, -6, 0, 4, 1, 4, 4],\n [2, 14, 10, 10, -9, 10, 10, -14, 4, 0],\n [-12, 2, -9, -11, -7, 7, -11, 6, 13, -13],\n... | 594186365 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[-1, 1, 0, 5, 2, 9, -2, -6, 4, 6],\n [1, -8, 0, -8, 9, 12, 3, 4, 0, -2],\n [0, 0, 4, -4, -4, 8, -4, -4, 10, 4],\n [5, -8, -4, 1, -6, 7, 3, 6, -4, 2],\n [2, 9, -4, -6, 13, -6, -2, -4, -6, 8],\n [9, 12, 8, 7, -6, 6, -7... | 5220167310 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[0, 5, 1, 8, 6, -2, 7, 2, 10, -4],\n [5, -1, -5, 6, 9, -4, 0, 2, 6, 8],\n [1, -5, -8, -8, 8, 9, 3, -13, -2, 10],\n [8, 6, -8, -7, 0, 4, -2, 3, -2, 3],\n [6, 9, 8, 0, -1, 11, 4, 0, 7, -8],\n [-2, -4, 9, 4, 11, 8, -11, 2, 12, 6],\n [7, 0... | 4632861732 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[9, -14, 14, -14, 13, -14, -6, 6, -1, 13],\n [3, 12, -14, 5, -4, -13, 4, -13, 9, 4],\n [-13, -9, 8, 0, 10, -4, 11, 1, 5, 6],\n [12, 7, -12, -12, 4, 6, -4, -9, 10, -6],\n [13, -10, 9, -8, 5, -14, -12, -4, 11, 6],\n [-5... | 1452052105767 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[-8, 11, -11, -7, 3, -5, 5, -4, -8, -10],\n [11, -4, 3, 1, 4, 5, -10, -8, -12, 10],\n [-5, 4, -10, 14, -10, 8, 7, -4, 4, -3],\n [2, 7, 12, 7, 5, 0, 3, -6, 7, 14],\n [2, 9, 11, 8, 12, -4, -9, -3,... | 4752652820 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (9, 6) of the result:\nA =\n[[8, 6, 0, -10, -10, 4, 6, -1, -6, 4],\n [6, -6, -8, -8, -10, -2, 10, 2, 2, 10],\n [0, -8, -1, 5, 8, -4, -1, -2, 6, 2],\n [-10, -8, 5, 7, 0, -8, 8, 5, -10, 2],\n [-10, -10, 8, 0, 4, -6, 6, -2, 4, 0],\n [4, -2... | 15456364925 | MATH |
[
{
"content": "Find the sum of all entries of the 8th power of the matrix:\n[[11, -3, -8, 13, -8, -6, 1, -4, -6, 3],\n [-3, 10, 2, 12, -7, -2, 6, -10, 0, 2],\n [-8, 2, 5, 12, -3, 2, 0, -2, -4, -5],\n [13, 12, 12, 4, 4, 4, 0, 0, -4, 2],\n [-8, -7, -3, 4, 12, -6, 10, -3, 0, 9],\n [-6, -2, 2, 4, -6, 6, 2, 11, -12, ... | 1521860314074 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-12, 2, -6, 0, -7, -11, 4, -13, -13, -2],\n [12, 4, -14, 13, 11, 8, 0, -13, 13, 1],\n [7, 13, -1, -9, -4, -1, 5, -11, 2, 1],\n [12, -9, -7, 14, -2, 11, -11, 1, 2, -11],\n [1, -13, 5, 9, -2, -12, 13, 14, 6, -5],\n [12, 3, 10, -12, -14, 8, -4, -10, 10, -12],\n [... | 29854810683 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[-4, 1, 10, 0, 3, -9, -4, 0, 4, -12],\n [1, -1, 0, -9, -10, 0, 8, 9, 8, 4],\n [10, 0, -1, 2, 4, 2, -2, 9, -10, -8],\n [0, -9, 2, 14, 2, 8, 10, 0, 2, 0],\n [3, -10, 4, 2, -12, -2, -6, 8, -8, -2],\n [-9, 0, 2, 8, -2, -3... | 9329384172 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[-5, 9, 3, -8, 8, 3, 14, 7, 6, -13],\n [10, -7, 8, 0, -9, 6, -2, 10, -10, 14],\n [7, -12, 10, 0, 12, 9, -6, 2, 2, -2],\n [3, 5, 11, -10, -2, -8, -11, -2, 2, -7],\n [12, -12, 10, 1, -13, 12, -14, 11, -7, -12],\n [2, 1... | 7137257739453 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[4, -2, 0, -4, 0, -3, -1, 8, 6, 3],\n [-2, -7, -12, -3, -3, -6, 2, 8, 0, 2],\n [0, -12, 2, 2, -8, -1, -12, 6, 0, -1],\n [-4, -3, 2, -7, -10, 0, -2, 4, -6, -9],\n [0, -3, -8, -10, -13, -1, -4, -4, -2, -2],\n [-3, -6, -1, 0, -1, 4, -4, 0, -8, -7],\n [-1, 2, -12, ... | -124628691582 | MATH |
[
{
"content": "Find the value at position (6, 8) of the 6th power of the matrix:\n[[7, -5, 14, -11, 0, -6, -3, 13, -7, 9],\n [-10, 1, 7, 0, 2, -14, 10, -3, 5, 4],\n [-10, 0, -6, 10, -12, -3, 8, 4, 0, -12],\n [5, 3, 7, 1, 0, -10, -5, -5, -2, 3],\n [13, -5, 1, -13, 3, -11, 4, 10, 14, -10],\n [13, 2, -13, 0, 8, 9, ... | 321060366 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the value at position (6, 7) of the result:\nA =\n[[9, -6, -14, -9, 1, 0, -13, -2, 9, -10],\n [1, -14, 6, -5, 1, -2, 6, -13, -11, 14],\n [7, -14, -4, -6, 8, -9, -14, -7, -7, -11],\n [-11, -14, 14, 10, -7, 14, 11, 8, 3, 8],\n [5, 4, -4, 13, 11, 5, -5, 14, -9,... | -81865329 | MATH |
[
{
"content": "What is the value at position (5, 1) of the matrix A^7 where A is:\n[[4, 8, 2, -2, -12, -4, -4, 6, 9, -2],\n [8, 11, -1, -6, -3, 12, -4, -13, 8, -4],\n [2, -1, -13, 4, 1, 2, 10, -6, -9, 0],\n [-2, -6, 4, -10, 1, 4, 1, 2, -4, -12],\n [-12, -3, 1, 1, -2, 1, 3, 8, 2, -1],\n [-4, 12, 2, 4, 1, -7, -2, ... | -5126528989 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[6, 4, -6, 2, 6, 1, 0, 1, 4, -10],\n [4, -1, -1, 4, 6, -2, 4, 1, -6, -6],\n [-6, -1, -2, 7, 1, 2, 0, -2, -2, -12],\n [2, 4, 7, 6, 4, -2, -8, 0, -9, -2],\n [6, 6, 1, 4, 9, -6, 6, -2, -2, 4],\n [1, -2, 2, -2, -6, 0, -8, -6, -6, -3],\n [0... | -34030292283 | MATH |
[
{
"content": "Find the value at position (2, 2) of the 7th power of the matrix:\n[[9, 5, -14, -11, 3, -10, -14, -14, -10, 3],\n [-6, -5, -8, 0, -1, -11, -1, -8, -7, 9],\n [-7, 13, -10, 8, -4, 8, -13, 0, 4, 12],\n [3, 0, 4, 10, -8, -11, -1, -7, 14, 8],\n [-5, -2, -9, -11, -10, -5, 9, -2, 4, -4],\n [13, 4, -10, 1... | 2597291136 | MATH |
[
{
"content": "Find the sum of all entries of the 8th power of the matrix:\n[[-8, 7, 10, -10, -7, 5, -2, -8, 10, 3],\n [-6, -3, 9, 11, 2, -5, -8, 13, 6, -10],\n [8, 0, 1, 12, 1, -5, -1, 5, 2, -9],\n [-14, -4, -14, -3, 9, 5, 0, -10, -5, 11],\n [2, -5, -8, 12, 3, -9, -6, -13, 7, 13],\n [-3, -10, 0, -2, 14, 14, -13... | 312873013870 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[-13, -13, 5, 11, -5, 1, -12, -1, 8, -8],\n [4, 4, 10, 8, 4, -12, -2, 4, 10, -1],\n [-7, 14, 8, -7, 2, 10, 6, 14, -10, -10],\n [10, 6, -13, 7, 8, -4, 0, 8, -8, -4],\n [-13, -9, -6, 2, 4, -3, -9,... | 3687071047338 | MATH |
[
{
"content": "Find the value at position (7, 2) of the 8th power of the matrix:\n[[-9, -5, 9, 3, -1, -11, -2, -14, 5, -13],\n [-12, 5, -12, -9, 14, -8, -4, -8, 2, 6],\n [4, -3, -14, -14, 3, -5, 9, 5, 11, -12],\n [-1, -7, 1, 3, -6, -11, 12, 10, -14, 6],\n [11, 8, -1, -4, -11, 13, 13, 6, 1, 12],\n [-6, 7, 14, -1,... | -6484262943 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (6, 1) of the result:\nA =\n[[-4, -4, -3, -3, -13, -12, 13, -8, 5, -1],\n [7, 1, 9, -1, 2, 0, -4, -2, -9, 2],\n [-3, 13, 13, 9, -11, 6, -5, 3, 4, -8],\n [8, -3, -4, 9, 14, -12, -13, -13, 7, -13],\n [12, 0, -11, 10, 11, -12, 2, -13, 11, ... | 162604481 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[9, -3, 11, 9, 13, 11, -13, -7, 12, -3],\n [-6, 11, -1, 11, -9, 2, -4, 12, 4, 6],\n [-2, -12, -12, 10, 6, -1, -7, -8, -11, -12],\n [4, 12, -13, -10, -3, -13, 3, 0, 1, -3],\n [-3, 13, -11, 7, 13, 7, -7, -4, 7, 7],\n [-11, -3, 6, 12, 8, ... | 58103191 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^8 where A is:\n[[3, -10, -2, 9, 8, -8, 5, -2, -13, 11],\n [4, -1, -1, -6, -11, 2, 11, 5, 14, 1],\n [9, -7, 11, 0, 11, 3, -5, -11, -8, 9],\n [2, -7, -14, 7, 6, -5, 0, 8, -9, -5],\n [-14, -9, -2, -12, -3, 0, 7, -8, -9, -6],\n [1, -3, -6, -7, -10, 11, -1... | -350687254806 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-9, 8, -2, 10, -2, -2, 2, 2, 4, -4],\n [8, -3, 2, 8, 8, -6, -4, 2, -6, 7],\n [-2, 2, -9, 6, -8, 0, -5, 6, 0, -4],\n [10, 8, 6, -6, 3, 3, -2, 11, -4, -2],\n [-2, 8, -8, 3, 2, -6, -9, 3, 0, 1],\n [-2, -6, 0, 3, -6, 9, -8, -2, 8, 2],\n [2, -4, -5, -2, -9, -8, 9, ... | 172761610562 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-5, 13, 6, 2, -10, 3, -6, -10, 4, -13],\n [13, -5, 11, 0, 4, -4, -8, 5, -6, 0],\n [6, 11, 0, 4, -6, -2, -2, 3, 1, -7],\n [2, 0, 4, 11, 4, -4, -12, 8, 0, -10],\n [-10, 4, -6, 4, 4, 8, -11, -6, -2, -4],\n [3, -4, -2, -4, 8, 11, -2, 2, -2, 12],\n [-6, -8, -2, -12... | -65083726050 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[4, -6, -14, 3, -8, 13, 3, -5, 12, 5],\n [-13, -4, 3, -4, -1, -2, -14, 10, -5, 0],\n [4, 14, 2, -5, 7, -7, 8, -8, 3, 12],\n [-11, -9, -13, -2, 6, -3, -10, 4, -13, -4],\n [8, -7, -11, -11, -4, -1, -6, 5, 11, -1],\n... | -99613287224 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^8 where A is:\n[[-5, 13, 11, 11, -11, 12, 0, -11, 5, -4],\n [-3, -2, -13, -7, -11, -6, -13, 8, -10, -10],\n [8, -11, 4, -6, -3, -12, -10, -13, 8, -2],\n [13, 12, -8, 13, 6, -7, 10, 14, 5, -4],\n [-3, 3, 3, 12, 14, 1, 5, 7, -9, 3],\n [2, 3, 9, 6, -12, ... | -340727639736 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (5, 10) of the result:\nA =\n[[1, 2, -3, 0, -1, -14, 11, -3, 5, 8],\n [5, -1, 1, 10, 0, -7, 6, -14, -2, -12],\n [9, -3, -8, -7, 2, 3, -5, 0, 8, 6],\n [6, 13, 14, -5, -6, -14, 6, 8, -10, 0],\n [-1, 11, -4, 8, 2, 6, -1, -9, 7, -11],\n [-2... | -2792400328 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[3, 0, 2, -3, 0, 4, 4, -2, 6, -4],\n [0, -4, -2, 4, -7, -6, -5, -4, -1, -13],\n [2, -2, -2, -7, -10, 6, 0, -12, -4, -4],\n [-3, 4, -7, 11, -8, 6, 6, 4, 6, 1],\n [0, -7, -10, -8, 4, 6, 6, -8, -7, -10],\n [4, -6, 6, 6, 6, -4, -6, 4, -11, 0],\n [4, -5, 0, 6, 6, -6... | 448781344869 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[4, 8, -6, -4, -11, 9, -5, -9, -12, -2],\n [4, -12, 5, 3, -3, -3, 6, -3, 9, 13],\n [14, -8, -6, -3, 4, -11, 9, -5, 12, 4],\n [2, 3, -5, 11, 9, -3, 8, 5, -7, 4],\n [-14, -11, -9, 7, -11, 1, -7, -6, 0, 3],\n [-12, 13, 9, 2, -14, -8, -5, 0... | 4552613580 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[-10, -1, 11, 4, 7, 2, 11, -11, -14, 2],\n [-5, -7, 11, -4, 5, -5, 4, -9, -4, 1],\n [-5, 10, 7, -14, -7, 2, 4, -6, 5, -7],\n [-6, 1, -1, 9, -9, -6, -4, 7, 0, 0],\n [-10, -7, 5, -12, 5, 13, 10, -11, -8, 2],\n [-3, -9,... | 8625550923412 | MATH |
[
{
"content": "Find the value at position (6, 1) of the 7th power of the matrix:\n[[-13, -4, -14, 9, -3, -7, 13, -12, -5, 0],\n [-3, -13, 10, -10, -6, 3, -9, -4, -1, -14],\n [8, -11, -8, -6, 2, 2, -4, 8, 11, 12],\n [-3, 0, -13, -7, 5, 8, 11, -13, 9, -9],\n [-14, 10, 12, 3, -11, 10, -7, -7, -1, 5],\n [-1, -14, 11... | -491751231 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[5, 9, 12, 11, 10, -3, -11, 3, -5, 5],\n [-13, 13, -14, -1, 2, 12, -11, 10, -6, -8],\n [6, 7, 2, -12, -14, -5, -10, -11, 4, -9],\n [-9, -6, 5, -6, 14, 0, 5, -7, 9, -13],\n [-5, -1, 13, 9, -13, 12, 9, 7, -2, 4],\n [13, 12, 14, 14, -8, -3, -9, -12, -10, -11],\n [... | 624996527 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[2, -4, -7, 8, 0, -3, 3, -5, -3, -11],\n [0, 3, 10, -2, 9, 2, -14, 9, -10, 2],\n [12, 5, 3, 14, -6, -5, 7, 12, 10, 2],\n [-14, 12, -11, 3, 0, 0, -14, 7, 9, -14],\n [-4, -4, 11, 11, -9, -14, -1, 9, -9, 2],\n [-6, 2, 10, -1, 4, -7, 9, 8,... | -10837627926 | MATH |
[
{
"content": "Find the value at position (9, 3) of the 7th power of the matrix:\n[[-9, -1, -12, -4, -2, -12, -3, 8, 7, 6],\n [12, 7, 7, 5, 13, 12, -10, -2, 8, 12],\n [-4, 2, 13, 14, -5, -3, -9, -10, 7, -14],\n [5, 9, 5, 0, 1, 14, -5, 9, 12, -7],\n [-13, 7, -8, 8, -14, 5, 8, -9, -2, -3],\n [4, 11, 11, 2, -10, 12... | 1284642482 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the value at position (5, 4) of the result:\nA =\n[[-10, 1, -6, -14, -10, -14, 2, -14, 0, -10],\n [-6, 3, -9, 6, -3, -1, -8, -8, 4, -9],\n [-12, 1, 1, 3, -10, 5, 14, -11, 1, -11],\n [9, -2, -1, 2, -12, 10, -12, 2, -2, 6],\n [5, -5, 14, 9, 12, -3, 12, -6, 11,... | 184769065 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[8, 7, -10, 1, -13, 0, -10, 0, 11, 8],\n [-4, 14, -9, -9, -10, 10, -14, 5, -8, 1],\n [2, 14, 13, 12, 0, 5, 7, -5, -7, 8],\n [13, -6, 8, 4, -5, 5, -12, 10, -4, -4],\n [-7, -5, 14, -6, -5, -5, 3, -10, -10, -8],\n [5, 5, -7, 2, -9, 10, -2, -2, -2, 1],\n [-13, -10,... | 170765402995 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (2, 5) of the result:\nA =\n[[8, -11, -14, -1, -1, 9, 4, -9, -3, 3],\n [-6, 5, 8, 10, -2, 12, 4, -2, 4, 4],\n [6, -5, -9, -12, 11, 1, -6, 2, 8, 12],\n [-6, -10, 4, 14, 0, -5, -11, 9, -3, -1],\n [0, 4, -10, -3, -12, 0, 0, -3, 0, -9],\n [... | -1080397916 | MATH |
[
{
"content": "What is the value at position (8, 6) of the matrix A^8 where A is:\n[[11, -4, -11, 14, -12, -10, 9, -1, -5, -9],\n [-5, -4, 5, -7, -11, 6, 3, 11, 5, 11],\n [-1, 11, -12, -3, 0, 13, 9, -7, -1, 8],\n [-9, 10, -1, -11, 5, -9, 1, 2, -13, 3],\n [-2, 11, 5, 1, 6, -2, -1, 3, -7, -10],\n [9, -6, 0, 14, 12... | -15547506288 | MATH |
[
{
"content": "What is the value at position (4, 2) of the matrix A^8 where A is:\n[[-10, -3, -6, -11, 2, -3, -2, -4, 8, 2],\n [0, 13, -6, -11, -3, -12, 5, 2, 7, -8],\n [-8, 6, 11, -3, 11, 6, 7, -5, 13, -7],\n [-6, -1, -9, 4, 7, 0, 5, 5, 12, 12],\n [-8, 7, 9, 12, -7, -12, -4, -11, -13, -14],\n [-8, 9, -3, -7, -2... | 23438290893 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-6, 2, 14, 0, -13, 2, -8, 13, 14, 1],\n [2, 12, 12, -14, 7, 7, 12, 1, 13, 6],\n [-11, 1, 9, -12, -14, 2, -10, -12, 4, -4],\n [0, -13, 10, 12, 14, 7, -8, 3, 12, -14],\n [-7, 1, 11, 0, -11, -2, 10, -3, -6, -2],\n [-4, -3, -11, 11, -12, -10, -9, 11, -11, -14],\n ... | 9507353255 | MATH |
[
{
"content": "Find the value at position (5, 10) of the 7th power of the matrix:\n[[-11, -10, 4, -10, -7, -8, -9, 4, -7, 2],\n [-10, -2, -5, -6, -10, 4, 10, -7, 4, 10],\n [4, -5, -9, 3, -8, 1, -4, 2, 6, 10],\n [-10, -6, 3, 3, 0, -12, 8, -4, 6, 7],\n [-7, -10, -8, 0, -8, 10, 2, 4, -8, 10],\n [-8, 4, 1, -12, 10, ... | 32906004906 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-14, 3, -2, 10, 0, 7, 2, -6, 0, -1],\n [3, 11, -4, -4, -10, 12, 2, -2, 1, 6],\n [-2, -4, -4, 4, 5, -2, -6, -5, -8, 1],\n [10, -4, 4, 6, -4, 0, 8, -2, 11, -6],\n [0, -10, 5, -4, 2, 4, -12, 7, -6, -2],\n [7, 12, -2, 0,... | 346173011480 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[-10, -6, -1, 12, 1, -12, 0, 3, 3, -1],\n [10, -8, 11, 13, 5, -9, 11, 1, 7, 4],\n [-6, 5, -14, 3, 6, -1, -1, -7, 8, 10],\n [2, 3, 0, -5, 5, 1, -8, 14, 14, 2],\n [-10, 3, -1, 3, 3, 0, 10, -4, 11, -10],\n [1, -7, -2, 11, 7, 12, 2, 11, -6,... | 466915408 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[0, 4, -2, -6, 5, -10, 7, 2, -4, -4],\n [4, 13, -8, 4, -4, 11, -6, -2, -3, -2],\n [-2, -8, -2, 6, 4, 10, -8, 2, 8, 0],\n [-6, 4, 6, -14, -2, -3, -8, -6, -2, 2],\n [5, -4, 4, -2, -6, 6, -8, 2, 6, -4],\n [-10, 11, 10, -... | 373679052120 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[5, 0, 1, 0, 0, 7, -12, -1, -4, -2],\n [0, 2, 8, -11, 8, -1, 4, -1, 4, 3],\n [1, 8, 4, -2, -8, 6, -5, -4, 13, -4],\n [0, -11, -2, -9, -10, 10, -2, 6, -9, -11],\n [0, 8, -8, -10, 4, 6, 11, 1, 6, 0],\n [7, -1, 6, 10, 6, 10, 1, 1, -2, 0],\n [-12, 4, -5, -2, 11, 1,... | 464699691183 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -4, 0, -12, 4, 0, -8, -1, -8, 5],\n [-4, -9, 4, 4, 10, -8, 0, -4, 1, 4],\n [0, 4, -3, 0, 2, 4, -2, -2, 3, -4],\n [-12, 4, 0, -12, -6, 0, 3, -8, 10, 12],\n [4, 10, 2, -6, 14, 9, 6, -6, 9, -11... | 481764123507 | MATH |
[
{
"content": "Find the value at position (2, 5) of the 8th power of the matrix:\n[[10, -12, -6, -8, 9, -9, 0, -2, -1, -10],\n [11, 14, 9, 13, -13, -8, -14, 1, -8, 0],\n [-9, 5, 4, -6, 7, -9, 14, 2, -10, 0],\n [13, -8, -1, 5, 13, 3, 14, 10, 7, 10],\n [9, 2, 3, -13, 14, 3, -1, -11, -8, -8],\n [-14, -7, 5, 9, -5, ... | -217640016817 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (2, 2) of the result:\nA =\n[[-10, -11, 2, 5, -1, -4, -5, -14, -8, -9],\n [-8, 9, 0, -9, 3, -13, -6, -9, 7, 2],\n [9, -4, 9, -11, -8, 0, 10, 12, 14, 2],\n [-3, -2, 6, -2, -7, -8, 14, 11, -11, -12],\n [2, 1, 4, -13, 6, -1, 1, 2, -11, -7]... | 2508958498 | MATH |
[
{
"content": "Find the value at position (7, 10) of the 8th power of the matrix:\n[[11, 3, 10, -3, 8, -9, -11, -11, 3, -14],\n [6, -9, 11, -6, 2, 6, -4, 14, 6, -6],\n [-4, 12, -11, -2, 14, 4, -12, 7, 12, -14],\n [2, 2, -8, -1, -10, -1, -4, 10, 13, 12],\n [-12, -9, -8, 4, -6, -13, 13, -3, -8, -5],\n [5, 0, 10, 8... | 2886818834 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[5, 10, -13, -10, 3, 9, 10, -12, 1, -10],\n [-6, -9, 4, 7, 10, 12, 12, 1, 11, -8],\n [-11, 1, 5, 2, 4, 13, 10, 2, -2, -13],\n [-13, 9, 7, 8, 12, -11, 1, 12, -11, 5],\n [-3, 7, 13, 13, 14, 14, 5, -1, -14, 2],\n [9, 3, -3, 10, -5, 9, 0, 2, 11, -4],\n [9, 10, 5, -... | 34266797455624 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[5, -4, 8, 5, -10, -2, -3, 1, 2, -1],\n [6, 11, -5, -2, -3, -11, 4, -3, 10, -14],\n [-5, 6, 11, 14, -13, -10, 6, 11, 12, 2],\n [-11, -8, 0, -14, 13, 14, -1, 11, 0, -13],\n [5, 11, -13, 1, -13, 1, 2, 3, 4, 1],\n [-11, ... | 542138089602 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[14, 14, 3, -5, 8, -3, -11, -6, 0, -4],\n [14, 4, -8, -7, 6, -4, 1, -11, 8, 7],\n [3, -8, -2, -2, -4, -4, -6, 4, 1, 0],\n [-5, -7, -2, 2, 8, -5, -1, 9, 0, 4],\n [8, 6, -4, 8, 5, 4, 2, 4, -6, -4]... | 15970410814 | MATH |
[
{
"content": "Find the value at position (1, 4) of the 7th power of the matrix:\n[[-11, 0, 0, 10, 4, 9, -6, 3, 6, 4],\n [0, 12, 0, -10, -2, 0, 5, -2, 8, -4],\n [0, 0, 12, -1, 6, 1, -4, -5, 5, -2],\n [10, -10, -1, 10, -3, -10, 4, 5, 0, 0],\n [4, -2, 6, -3, 14, 2, -12, -5, -4, 12],\n [9, 0, 1, -10, 2, 11, -6, -5,... | -104522352 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[-7, 8, 5, 1, 9, -5, -11, -3, 6, 1],\n [9, 14, 3, 1, -2, 1, 11, 0, -7, 0],\n [6, 6, -8, 5, 4, 14, 7, -1, -9, -2],\n [11, -3, 7, -8, 5, -12, -12, -12, 0, 1],\n [-2, 1, -13, -9, 2, -9, 9, 7, 3, 8],\n [-3, 4, 10, -3, 12, 9, 7, 2, -13, -1],... | 25535590898 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the value at position (8, 6) of the result:\nA =\n[[-11, 0, 1, -1, 0, 8, 2, 12, -3, -2],\n [-1, 11, -4, -4, -9, -14, 9, 5, -7, -7],\n [3, 7, -2, 11, -1, 0, -11, 4, -2, -6],\n [1, 13, 11, 13, -6, -13, 6, 11, -5, -8],\n [-6, -7, 11, 5, 4, -14, -14, 10, 5, -7],... | 50248650993 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-3, -10, -14, -12, 12, 10, -11, -6, 7, 2],\n [-3, 4, 14, -12, 5, -5, 5, -7, -12, -4],\n [0, 5, 13, -3, -12, -8, 7, -14, -5, 2],\n [-9, 4, 10, -3, 14, 13, -13, -3, 14, 4],\n [-6, 13, -9, 2, -13, -8, -9, -1, 2, 11]... | -39649323191 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[9, 7, 6, -4, 2, 7, 2, 0, -11, -6],\n [7, -7, 8, 2, -8, -4, 2, 12, 0, -4],\n [6, 8, 13, 4, 3, -4, -2, 5, 4, 2],\n [-4, 2, 4, 2, 0, 2, 14, -2, 6, 6],\n [2, -8, 3, 0, 10, 12, 0, -2, 8, 4],\n [7, -4, -4, 2, 12, -2, -... | 56656576405 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[0, 7, -7, -9, -11, -7, 5, 7, -10, 5],\n [8, -7, -1, 7, 2, 8, 5, -13, 4, 11],\n [-11, -1, -8, 10, 1, -5, -4, 7, 11, -10],\n [10, -3, 9, 9, 9, 0, 9, 9, -5, 11],\n [8, -13, 3, -4, -10, -9, -2, 10, 2, 12],\n [1, 8, 8, 9, 14, -14, 13, -2, -5, -2],\n [5, 11, 6, 3, 3... | 11775425137801 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[8, 6, 10, -2, 5, 12, 8, -3, 9, 3],\n [6, 14, 2, -4, 3, -1, 3, 0, -4, 0],\n [10, 2, 5, -12, 0, 3, 8, 6, 3, -10],\n [-2, -4, -12, -14, -9, 6, -2, 0, -6, 3],\n [5, 3, 0, -9, -8, 1, 6, 1, 1, 9],\n [12, -1, 3, 6, 1, 2... | 132159417619 | MATH |
[
{
"content": "What is the value at position (9, 5) of the matrix A^6 where A is:\n[[10, -10, 13, 9, 2, -4, -5, -14, -1, 1],\n [-10, -14, 4, 12, -4, -4, 1, -10, 6, 2],\n [13, 4, -2, -9, -5, -6, -2, 4, -4, 0],\n [9, 12, -9, -8, 2, 0, -3, -2, 7, 0],\n [2, -4, -5, 2, -10, 4, 2, 2, 12, -6],\n [-4, -4, -6, 0, 4, -14,... | 36331054 | MATH |
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